binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22
(assuming children are independent and male and female are equally likely)
| probability
less than 16 boys | 0.9534
16 or less boys | 0.9827
more than 16 boys | 0.01734
16 or more boys | 0.04657
fraction of boys | 16/(16 + 7) ≈ 0.695652
fraction of girls | 7/(16 + 7) ≈ 0.304348
expected value | 11.5
standard deviation | 2.398
variance | 5.75
11.5
Answer:
The left side 5
The bottom 10
The slanted side 11
Step-by-step explanation:
To find the perimeter of the triangle, add up the side lengths
x+ 2x+1 + x+5 = 26
Combine like terms
4x+6 = 26
Subtract 6
4x+6-6 =26-6
4x=20
Divide by 4
4x/4 = 20/4
x=4
The left side x = 5
The bottom x+5 = 5+5 = 10
The slanted side = 2x+1 = 2*1 +1 = 10+1 =11
